Kazhdan-Lusztig polynomials for B₂

2021/02/02 by Batistelli, Karina, Bingham, Aram, Plaza, David
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2102.01278

Abstract

Kazhdan and Lusztig define, for an arbitrary Coxeter system (W,S), a family of polynomials indexed by pairs of elements of W. Despite their relevance and elementary definition, the explicit computation of these polynomials is still one of the hardest open problems in algebraic combinatorics. In this paper we explicitly compute Kazhdan-Lusztig polynomials for a Coxeter system of type B₂.

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